The actress attended the Golden Globes at the Beverly Hilton on Sunday and was beyond ecstatic when she found out she won the first award of the night -- Best Performance by an Actress in a Supporting Role in a Motion Picture for her role in Steve Jobs.

"I just have to kiss them. Sorry," Winslet, 40, said during her acceptance speech. "I really am actually extremely surprised and overwhelmed. Sorry. Just take a minute. Thank you so much to the Hollywood Foreign Press."

BEVERLY HILLS, CA - JANUARY 10: Actress Kate Winslet, winner of Best Supporting Performance in a Motion Picture for 'Steve Jobs,' poses in the press room during the 73rd Annual Golden Globe Awards held at the Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Kevin Winter/Getty Images)

BEVERLY HILLS, CA - JANUARY 10: Actress Kate Winslet, winner of Best Supporting Performance in a Motion Picture for 'Steve Jobs,' poses in the press room during the 73rd Annual Golden Globe Awards held at the Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Kevin Winter/Getty Images)

BEVERLY HILLS, CA - JANUARY 10: In this handout photo provided by NBCUniversal, Sam Smith accepts the award for Best Original Song - Motion Picture for 'Writing's on the Wall' during the 73rd Annual Golden Globe Awards at The Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Paul Drinkwater/NBCUniversal via Getty Images)

BEVERLY HILLS, CA - JANUARY 10: In this handout photo provided by NBCUniversal, Gael Garcia Bernal accepts the award for Best Actor - TV Series, Comedy for 'Mozart in the Jungle' during the 73rd Annual Golden Globe Awards at The Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Paul Drinkwater/NBCUniversal via Getty Images)

BEVERLY HILLS, CA - JANUARY 10: Actress Rachel Bloom (L), winner of the award for Best Performance by an Actress in a Television Series - Musical or Comedy for 'Crazy Ex-Girlfriend,' and writer/producer Aline Brosh McKenna pose in the press room during the 73rd Annual Golden Globe Awards held at the Beverly Hilton Hotel on January 10, 2016 in Beverly Hills, California. (Photo by Steve Granitz/WireImage)

BEVERLY HILLS, CA - JANUARY 10: 73rd ANNUAL GOLDEN GLOBE AWARDS -- Pictured: Actor Jon Hamm, winner of the award for Best Performance by an Actor in a Television Series - Drama for 'Mad Men', poses in the press room at the 73rd Annual Golden Globe Awards held at the Beverly Hilton Hotel on January 10, 2016. (Photo by Kevork Djansezian/NBC/NBCU Photo Bank via Getty Images)

BEVERLY HILLS, CA - JANUARY 10: 73rd ANNUAL GOLDEN GLOBE AWARDS -- Pictured: Actress Bernadette Peters, winner of the award for Best Television Series - Musical or Comedy for 'Mozart in the Jungle', pose in the press room at the 73rd Annual Golden Globe Awards held at the Beverly Hilton Hotel on January 10, 2016. (Photo by Kevork Djansezian/NBC/NBCU Photo Bank via Getty Images)

"Is this really happening? This is really happening. OK," she continued. "I just want to start by saying what an incredible year for women in film and I mean, these categories, they're so crowded and crowned with incredible skill and integrity, and I feel prouder than ever this year to be included. I really, truly do. OK."

ET caught up with Winslet in the press room, where she still was on cloud nine over the "shocking" victory.

"I'm an old lady... and moments like this one, they never get dull, they never get any less nerve-racking," she revealed. "These moments mean a great deal and to still be so fulfilled I feel incredibly blessed."

"Who would you choose to party with tonight to guarantee that you would get out of control?" ET asked.

"I'm actually going to let you in on a little secret, which is obviously no longer about to be a secret anymore," Winslet said, laughing. "I have this recurring neck problem and I realized as I was about to leave the hotel to come to the red carpet, I realized that it had been hurting quite a lot all day."

"So I went ahead and booked a massage for tonight at 9 p.m., which I think I'm going to have to cancel," she continued. "I suppose I'll go out partying, I'm sure my husband will drag me out on the town."

ET also caught up with Winslet's Titanic co-star, Leonardo DiCaprio, who was just as elated over her win.

"She's my favorite actress in the industry," he shared. "She's actually hanging out with me tonight. We're gonna go to the after-parties together."